Answer:
Explanation:
Given
Required
Find g(1)
If f(x) and g(x) are inverse functions, then:
implies that:
Using the analysis above:
implies that:
Answer:
Total water required per year = 73,000 gallon
Explanation:
Given:
Number of showers = 4
Average showers use = 10 minutes
Flow rate = 5 gallon per minute
Find:
Total water required per year
Computation:
Total water required per year = Number of showers × Average showers use × Flow rate × 365
Total water required per year = 4 × 10 × 5 gallon × 365
Total water required per year = 73,000 gallon
The time it takes for 1g of strontium-90 to decay to 250 mg is; 57.6 years
<h3>What is the half life of an element?</h3>
The formula for half life is;
A(t) = A₀ * (¹/₂)^(t/t_1/2)
Where;
A(t) is amount left after t years
A₀ the initial quantity of the substance that will undergo decay;
t_1/2 is the half-life of the decaying quantity.
We are given;
t_1/2 = 28.8 years
A₀ = 1 g
A(t) = 250 mg = 0.25 g
Thus;
0.25 = 1 * (¹/₂)^(t/28.8)
log 0.25 = (t/28.8) log (1/2)
-0.60206 = (t/28.8) * -0.3010
t = 2 * 28.8
t = 57.6 years
Read more about half life at; brainly.com/question/11152793
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